Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 150 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#63396 | C2 | semidirect |
| 3. C42×Dic9 | C2 | semidirect |
| 4. #10588604 | C2 | semidirect |
| 7. C9×C4⋊Q8 | C4 | semidirect |
| 8. C9×#127 | C4 | semidirect |
| 9. C9×#124 | C4 | semidirect |
| 39. C4×Dic9 | D4 | semidirect |
| 105. C4×C9 | #104 | semidirect |
| 112. C4⋊Q8 | Dic9 | semidirect |
| 113. #127 | Dic9 | semidirect |
| 114. #124 | Dic9 | semidirect |
| 177. C9 | #1962 | semidirect |
| 209. C4 | #63396 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#532 | 2 |
| C2×#63396 | 2 |
| C42×Dic9 | 2 |
| #10588604 | 2 |
| #71815 | 3 |